Abstract
In this paper, we propose new notions of fuzzy soft algebras like fuzzy soft ρ-subalgebra (FSρ-SA), fuzzy soft ρ-ideal (FSρ-I), and fuzzy soft . Next, we investigated their relations with other types of fuzzy soft algebras like fuzzy soft d-subalgebra (FSd-SA), fuzzy soft d-ideal (FSd-I), fuzzy soft BCK-subalgebra (FSBCK-SA), fuzzy soft BCK-ideal (FSBCK-I), and others. In addition, we study and discuss some basic characterisations of fuzzy soft ρ-ideal with their applications. Furthermore, several examples are presented to expound our notions in this work.
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